Multiple choice

During the eighteenth century, the population of country $X$ increased by $1,000$ percent. During the nineteenth century, the population increased by $500$ percent. Calculate by what percent did the population increase over the two century period.

  1. $1,500\%$
  2. $1,700\%$
  3. $4,900\%$
  4. $6,500\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let initial population be 100. 18th century increase 1000% means it becomes 100 + 1000 = 1100. 19th century increase 500% means it becomes 1100 + 5(1100) = 1100 + 5500 = 6600. Total increase = 6600 - 100 = 6500, which is 6500%.

AI explanation

Assume the initial population of the country is 100. An increase of 1000 percent means adding 1000 to the initial 100, resulting in a population of 1100 at the end of the eighteenth century. During the nineteenth century, a 500 percent increase adds 5 times 1100, or 5500, bringing the total population to 1100 + 5500 = 6600. The overall percent increase is calculated as ((Final - Initial) / Initial) * 100, which is ((6600 - 100) / 100) * 100, yielding a 6500 percent increase.

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